In: Statistics and Probability
Use at least 50000 simulations to answer the following questions.
In the game of craps, the shooter rolls two dice and wins if the sum of the dice is 7 or 11 ("natural"); he loses if the sum is 2,3, or 12 (craps). If the sum is 4, 5, 6, 8, 9, or 10, then the result is not yet decided. He must roll the dice again and again, as often as is necessary until the initial sum, be it 4, 5,6,8,9, or 10 is repeated (shooter wins) or until the sum is 7 (shooter loses). Find the probability that the shooter will win in a game of craps by simulation.